2806881 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 1404480.

The previous prime is 2806861. The next prime is 2806907. The reversal of 2806881 is 1886082.

It is not a de Polignac number, because 2806881 - 2⁵ = 2806849 is a prime.

It is a super-2 number, since 2×2806881² = 15757161896322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2806801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6490 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

2^2806881 is an apocalyptic number.

2806881 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2806881 is a deficient number, since it is larger than the sum of its proper divisors (2031519).

2806881 is a wasteful number, since it uses less digits than its factorization.

2806881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469.

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2806881 is about 1675.3748834216. The cubic root of 2806881 is about 141.0613384349.

The spelling of 2806881 in words is "two million, eight hundred six thousand, eight hundred eighty-one".